Integral 2 sampai 5 (x^3-7x^2-10x)dx
Matematika
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Pertanyaan
Integral 2 sampai 5 (x^3-7x^2-10x)dx
1 Jawaban
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1. Jawaban 2precis3
[tex]\int^5_2 \left( x^3 - 7x^2 - 10x\right) dx \\ = \left[ \frac{1}{4}x^4 - \frac{7}{3}x^3-\frac{10}{2}x^2 \right]^5_2 \\ = \left ( \frac{1}{4}\cdot5^4 - \frac{7}{3}\cdot5^3 -\frac{10}{2}\cdot5^2 \right ) - \left ( \frac{1}{4}\cdot2^4- \frac{7}{3}\cdot2^3-\frac{10}{2}\cdot2^2 \right ) \\ = \frac{625}{4} - \frac{875}{3} - 125 - 4 + \frac{56}{3} + 20 \\ = -\frac{903}{4}[/tex]